FA-63667 / Actuarial life tables / Member archive

Abridged to single-year mortality: Group probability is divided linearly · case 02

Single-year rates do not compound back to the group rate.

Member previewVariant 2 · 3 implementations · 7 checks per implementation

Case contract

Input groups [[start age, width n, nqx per 100000]]; groups must be contiguous from the first start (else 'gap at <start>'). An nqx of 100000 is the open group and ends the table. Each closed group yields n equal single-year rates 1-(1-nqx)^(1/n) rounded to 8.

Why this case matters

Life-table arithmetic compounds across ages, so one misplaced index or assumption shifts every downstream value.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
infant groups	`[0.00406, 0.0003425, 0.0003425, 0.0003425, 0.0003425, 0.00141, 0.00141, 0.00141, 0.00141, 0.00141, 0.005784, 0.005784, 0.005784, 0.005784, 0.005784, 0.003114, 0.003114, 0.003114, 0.003114, 0.003114, 0.001178, 0.001178, 0.001178, 0.001178, 0.001178, 0.0019, 0.0019, 0.0019, 0.0019, 0.0019]`	`[0.00406, 0.00034268, 0.00034268, 0.00034268, 0.00034268, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00190726, 0.00190726, 0.00190726, 0.00190726, 0.00190726]`	Failed

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